Triangular distribution probability paper.
(a) Construct a probability paper for distributions with symmetrical triangular PDF's on the interval a to (b) A number of individuals measured the same item twice and each reported his average reading. If each of the two reading errors is uniformly distributed between -0.5 and +0.5 unit (the smallest division on a fine scale) and the two readings are independent, what is the distribution of each individual's average reading? (See Sec. 3.3.1.) (c) The following readings were reported by eight individuals: 14.9, 15.0, 15.1, 15.15, 15.2, 15.25, 15.4, 15.6. Use the probability paper of part
(a) to compare this data and the model of part
(b). The true value is 15.2.